Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

The determination of convex bodies from the size and shape of their projections and sections

100%

Goodey P.

Banach Center Publications

2009

tom 84

nr 1

13-30

We survey results concerning the extent to which information about a convex body's projections or sections determine that body. We will see that, if the body is known to be centrally symmetric, then it is determined by the size of its projections. However, without the symmetry condition, knowledge of the average shape of projections or sections often determines the body. Rather surprisingly, the dimension of the projections or sections plays a key role and exceptional cases do occur but appear to be sporadic. In a rather different direction, we will see that combining information about the size of projections or sections with other information such as Steiner points or centres of gravity also leads to complete determination of the original body.

Ograniczanie wyników

1 Banach Center Publications

1 Goodey P.

1 2009

Wyniki wyszukiwania

The determination of convex bodies from the size and shape of their projections and sections